How many bookcases should the company produce each month in order to achieve an average cost of $170? (Round your answer to the nearest whole bookcase.)

Question

A company produces bookcases. The average cost to produce x bookcases can be modeled by the function

c(x)=7672+60x / x

How many bookcases should the company produce each month in order to achieve an average cost of $170? (Round your answer to the nearest whole bookcase.)

Answer 1

Well you have to find x so c(x) = 170

[7672 + 60x] / x = 170

7672 + 60x = 170 x

7672 = 110 x

x = 7672/110 = 69.75

So 70.